I've been wearing shorts over padded biking shorts all summer: Partly because I like having the pockets and partly because a female friend told me it was illegal for anybody over 50 to weat lycra...
Now I am wearing them under some old Asics running pants that I have had laying around. They zip closed at the ankle, they are warm and they dry quickly in the wet...
... Plus i still get a couple pockets (although pockets are not an issue when I'm wearing my gore-tex overlayer.)